8 citations · 26 across the 41 of their papers we have counts for
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math.NT2015★ 1 cited
Summation of certain infinite Fibonacci related series
Bakir Farhi
In this paper, we find the closed sums of certain type of Fibonacci related convergent series. In particular, we generalize some results already obtained by Brousseau, Popov, Rabin…
math.NT2015
On the possible quantities of Fibonacci numbers that occur in some type of intervals
Bakir Farhi
In this paper, we show that for any integer , each of the intervals () contains either $\left\lfloor \frac{\log a}{\logΦ}\right\rflo…
math.NT2015
On the representation of an even perfect number as the sum of a limited number of cubes
Bakir Farhi
The aim of this note is to show that any even perfect number, other than , can be written as the sum of 5 cubes of natural numbers. We also conjecture that any even perfect numb…